Math, asked by harsha250101, 1 year ago

The number of permutations that can be made from the letters of the word SUNDAY that neither begin with S nor end with Y

Answers

Answered by amitnrw
8

Given : Letter of Word SUNDAY

To find :  The number of permutations that can be made from the letters of the word SUNDAY that neither begin with S nor end with Y

Solution:

SUNDAY

total Letters = 6

total possible Combination = 6 !   = 720

if begin with S  then possible combination = 5!   = 120

if end with  Y  then possible Combination = 5!  = 120

both Contains the Case begin with S & end with Y

if begin with S & end with Y then possible combination = 4! = 24

The number of permutations that can be made from the letters of the word SUNDAY that neither begin with S nor end with Y

= 720 - 120 - 120  + 24

= 504

504  is The number of permutations that can be made from the letters of the word SUNDAY that neither begin with S nor end with Y

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